diff --git a/changelogs/fragments/476-docker_swarm_service_add_init_option.yml b/changelogs/fragments/476-docker_swarm_service_add_init_option.yml
new file mode 100644
index 0000000000..44c7339bba
--- /dev/null
+++ b/changelogs/fragments/476-docker_swarm_service_add_init_option.yml
@@ -0,0 +1,2 @@
+minor_changes:
+  - "docker_swarm_service - Added support for ``init`` option."
diff --git a/plugins/modules/cloud/docker/docker_swarm_service.py b/plugins/modules/cloud/docker/docker_swarm_service.py
index 59b4c0830a..4574bf1787 100644
--- a/plugins/modules/cloud/docker/docker_swarm_service.py
+++ b/plugins/modules/cloud/docker/docker_swarm_service.py
@@ -184,6 +184,12 @@ options:
       - Service image path and tag.
       - Corresponds to the C(IMAGE) parameter of C(docker service create).
     type: str
+  init:
+    description:
+      - Use an init inside each service container to forward signals and reap processes.
+      - Corresponds to the C(--init) option of C(docker service create).
+      - Requires API version >= 1.37.
+    type: bool
   labels:
     description:
       - Dictionary of key value pairs.
@@ -1359,6 +1365,7 @@ class DockerService(DockerBaseClass):
         self.update_max_failure_ratio = None
         self.update_order = None
         self.working_dir = None
+        self.init = None
 
         self.docker_api_version = docker_api_version
         self.docker_py_version = docker_py_version
@@ -1413,6 +1420,7 @@ class DockerService(DockerBaseClass):
             'update_order': self.update_order,
             'user': self.user,
             'working_dir': self.working_dir,
+            'init': self.init,
         }
 
     @property
@@ -1652,6 +1660,7 @@ class DockerService(DockerBaseClass):
         s.user = ap['user']
         s.working_dir = ap['working_dir']
         s.read_only = ap['read_only']
+        s.init = ap['init']
 
         s.networks = get_docker_networks(ap['networks'], network_ids)
 
@@ -1896,6 +1905,8 @@ class DockerService(DockerBaseClass):
             differences.add('working_dir', parameter=self.working_dir, active=os.working_dir)
         if self.force_update:
             force_update = True
+        if self.init is not None and self.init != os.init:
+            differences.add('init', parameter=self.init, active=os.init)
         return not differences.empty or force_update, differences, needs_rebuild, force_update
 
     def has_healthcheck_changed(self, old_publish):
@@ -2056,6 +2067,8 @@ class DockerService(DockerBaseClass):
             container_spec_args['dns_config'] = dns_config
         if configs is not None:
             container_spec_args['configs'] = configs
+        if self.init is not None:
+            container_spec_args['init'] = self.init
 
         return types.ContainerSpec(self.image, **container_spec_args)
 
@@ -2431,6 +2444,8 @@ class DockerServiceManager(object):
                 ds.networks.append(network)
         ds.service_version = raw_data['Version']['Index']
         ds.service_id = raw_data['ID']
+
+        ds.init = task_template_data['ContainerSpec'].get('Init', False)
         return ds
 
     def update_service(self, name, old_service, new_service):
@@ -2835,6 +2850,7 @@ def main():
         ),
         user=dict(type='str'),
         working_dir=dict(type='str'),
+        init=dict(type='bool'),
     )
 
     option_minimal_versions = dict(
@@ -2859,6 +2875,7 @@ def main():
         read_only=dict(docker_py_version='2.6.0', docker_api_version='1.28'),
         resolve_image=dict(docker_api_version='1.30', docker_py_version='3.2.0'),
         rollback_config=dict(docker_py_version='3.5.0', docker_api_version='1.28'),
+        init=dict(docker_py_version='4.0.0', docker_api_version='1.37'),
         # specials
         publish_mode=dict(
             docker_py_version='3.0.0',
diff --git a/tests/integration/targets/docker_swarm_service/tasks/tests/options.yml b/tests/integration/targets/docker_swarm_service/tasks/tests/options.yml
index 1f805bacc3..020a74ae2e 100644
--- a/tests/integration/targets/docker_swarm_service/tasks/tests/options.yml
+++ b/tests/integration/targets/docker_swarm_service/tasks/tests/options.yml
@@ -1829,3 +1829,50 @@
     - working_dir_1 is changed
     - working_dir_2 is not changed
     - working_dir_3 is changed
+
+####################################################################
+## init ############################################################
+####################################################################
+
+- name: init
+  docker_swarm_service:
+    name: "{{ service_name }}"
+    image: alpine:3.8
+    resolve_image: no
+    init: true
+  register: init_1
+
+- name: init (idempotency)
+  docker_swarm_service:
+    name: "{{ service_name }}"
+    image: alpine:3.8
+    resolve_image: no
+    init: true
+  register: init_2
+
+- name: init (change)
+  docker_swarm_service:
+    name: "{{ service_name }}"
+    image: alpine:3.8
+    resolve_image: no
+    init: false
+  register: init_3
+
+- name: cleanup
+  docker_swarm_service:
+    name: "{{ service_name }}"
+    state: absent
+  diff: no
+
+- assert:
+    that:
+      - init_1 is changed
+      - init_2 is not changed
+      - init_3 is changed
+  when: docker_api_version is version('1.37', '>=')
+
+- assert:
+    that:
+    - init_1 is failed
+    - "('version is ' ~ docker_api_version ~'. Minimum version required is 1.37') in hosts_1.msg"
+  when: docker_api_version is version('1.37', '<')
diff --git a/tests/integration/targets/docker_swarm_service/vars/main.yml b/tests/integration/targets/docker_swarm_service/vars/main.yml
index 45bef6c4ff..1b1da299ba 100644
--- a/tests/integration/targets/docker_swarm_service/vars/main.yml
+++ b/tests/integration/targets/docker_swarm_service/vars/main.yml
@@ -51,3 +51,4 @@ service_expected_output:
   update_parallelism: null
   user: null
   working_dir: null
+  init: null